my experience is that fevers give me chills (your body feels cold because it wants to be even warmer). so grok would probably try to get subjectively warm rather than reasoning about his body temperature. just don't go more than about a degree higher lest you start cooking your brain.

you know, this is really interesting. when I had mono many decades ago, I remember all I wanted to do was lie out in the sun on my back deck. i did it for weeks while I was sick, all while running a fever, literally lying in the sun for 8 hours a day (with a light blanket)